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Simplifying 2(8x + 11) + 3(2x + 1) = 0 Reorder the terms: 2(11 + 8x) + 3(2x + 1) = 0 (11 * 2 + 8x * 2) + 3(2x + 1) = 0 (22 + 16x) + 3(2x + 1) = 0 Reorder the terms: 22 + 16x + 3(1 + 2x) = 0 22 + 16x + (1 * 3 + 2x * 3) = 0 22 + 16x + (3 + 6x) = 0 Reorder the terms: 22 + 3 + 16x + 6x = 0 Combine like terms: 22 + 3 = 25 25 + 16x + 6x = 0 Combine like terms: 16x + 6x = 22x 25 + 22x = 0 Solving 25 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 22x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 22x = 0 + -25 22x = 0 + -25 Combine like terms: 0 + -25 = -25 22x = -25 Divide each side by '22'. x = -1.136363636 Simplifying x = -1.136363636
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